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Finding the Third Proportional to 763,954 and 1,664,868

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Solution

The third proportional to 763,954 and 1,664,868 is: 3,628,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,954 : 1,664,868 = 1,664,868 : x
  2. Step 2: Convert to fraction form
    763,954/1,664,868 = 1,664,868/x
  3. Step 3: Cross multiply
    763,954x = 1,664,868 × 1,664,868
  4. Step 4: Simplify right side
    763,954x = 2,771,785,457,424
  5. Step 5: Solve for x
    x = 2,771,785,457,424/763,954
  6. Step 6: Final answer
    x = 3,628,209.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.